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Finding the Fourth Proportional to 205,269.82, 283,266.84 and 114,623.26

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Solution

The fourth proportional to 205,269.82, 283,266.84 and 114,623.26 is: 158,177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,269.82 : 283,266.84 = 114,623.26 : x
  2. Step 2: Convert to fraction form
    205,269.82/283,266.84 = 114,623.26/x
  3. Step 3: Cross multiply
    205,269.82x = 283,266.84 × 114,623.26
  4. Step 4: Simplify right side
    205,269.82x = 32,468,968,650.70
  5. Step 5: Solve for x
    x = 32,468,968,650.70/205,269.82
  6. Step 6: Final answer
    x = 158,177.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.